101030400000416 has 96 divisors (see below), whose sum is σ = 206135418827520. Its totient is φ = 48711630449664.

The previous prime is 101030400000401. The next prime is 101030400000557. The reversal of 101030400000416 is 614000004030101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478500566 + ... + 478711658.

It is an arithmetic number, because the mean of its divisors is an integer number (2147243946120).

Almost surely, 2^{101030400000416} is an apocalyptic number.

101030400000416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030400000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103067709413760).

101030400000416 is an abundant number, since it is smaller than the sum of its proper divisors (105105018827104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101030400000416 is a wasteful number, since it uses less digits than its factorization.

101030400000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215998 (or 215990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101030400000416 its reverse (614000004030101), we get a palindrome (715030404030517).

The spelling of 101030400000416 in words is "one hundred one trillion, thirty billion, four hundred million, four hundred sixteen", and thus it is an aban number.